QUESTION 3 Assume you have 12 treatment levels how many diff

QUESTION 3

Assume you have 12 treatment levels how many different pairwise comparisons would you have?

QUESTION 4

Assume you have 12 treatment levels and you need to conduct all pairwise comparisons. If you want an experiment wise error rate of 0.066 what is the adjusted alpha level using the Bonferroni Adjustment?

Shelf Height Example cont\'d: checking normality if all group sample sizes are large enough, you could check normality for each group separately. Shelf Height Example cont\'d: checking common standard deviation The standard deviations for the three levels are sB = 2.47 sM = 3.10 sT = 1.64 According to our rule of thumb, we should verify whether the ratio of the largest standard deviation divided by the smallest is less than or equal to 2 smax / smin = 3.10 / 1.64 = 1.89

Solution

QUESTION 3

Assume you have 12 treatment levels how many different pairwise comparisons would you have?

ANOVA involving K group means, there are K(K ? 1)/2 pairwise comparisons

In this case , 12*(12-1)/2 =66 different pairwise comparisons

QUESTION 4

Assume you have 12 treatment levels and you need to conduct all pairwise comparisons. If you want an experiment wise error rate of 0.066 what is the adjusted alpha level using the Bonferroni Adjustment?

12 treatment levels have 66 comparisons

adjusted alpha level using the Bonferroni Adjustment = 0.066/66 =0.001